The Product Formula for Gromov-Witten Invariants

نویسنده

  • K. Behrend
چکیده

We prove that the system of Gromov-Witten invariants of the product of two varieties is equal to the tensor product of the systems of Gromov-Witten invariants of the two factors.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Higher Genus Gromov–witten Invariants as Genus Zero Invariants of Symmetric Products

I prove a formula expressing the descendent genus g Gromov-Witten invariants of a projective variety X in terms of genus 0 invariants of its symmetric product stack S(X). When X is a point, the latter are structure constants of the symmetric group, and we obtain a new way of calculating the Gromov-Witten invariants of a point.

متن کامل

On the Refined Symplectic Sum Formula for Gromov-Witten Invariants

We describe the extent to which Ionel-Parker’s proposed refinement of the standard relative Gromov-Witten invariants sharpens the usual symplectic sum formula. The key product operation on the target spaces for the refined invariants is specified in terms of abelian covers of symplectic divisors, making it suitable for studying from a topological perspective. We give several qualitative applica...

متن کامل

Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology

In [L2], the author studied universal equations for genus-2 Gromov-Witten invariants given in [Ge1] and [BP] using quantum product on the big phase space. Among other results, the author proved that for manifolds with semisimple quantum cohomology, the generating function for genus-2 Gromov-Witten invariants, denoted by F2, is uniquely determined by known genus-2 universal equations. Moreover, ...

متن کامل

Gromov-Witten invariants for manifolds with semisimple quantum cohomology

In [L2], the author studied universal equations for genus-2 Gromov-Witten invariants given in [Ge1] and [BP] using quantum product on the big phase space. Among other results, the author proved that for manifolds with semisimple quantum cohomology, the genus-2 Gromov-Witten potential function F2 is uniquely determined by known genus-2 universal equations. Moreover, an explicit formula for F2 wa...

متن کامل

Gromov-Witten Invariants of Blow-ups Along Points and Curves

In this paper, usng the gluing formula of Gromov-Witten invariants under symplectic cutting, due to Li and Ruan, we studied the Gromov-Witten invariants of blow-ups at a smooth point or along a smooth curve. We established some relations between Gromov-Witten invariants of M and its blow-ups at a smooth point or along a smooth curve.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997